世界紀錄
2019-12-20 11:37:14
Initial cost 6 years ago (A) $565,000
4 annual revenues of $6,000 each received till now (B) $24,000
Balance uncovered cost at Year 0 (A-B) $541,000
One-time construction cost for storage units at Year 0 $32,000
Total Cost at Year 0 $573,000
L M S Total
No. of units available 50 120 100
Estimated revenues per month:
Expected units rented on monthly basis 30 70 60 160
Monthly rent rate $75 $50 $40
Estimated monthly revenues $2,250 $3,500 $2,400 $8,150
Expected units rented on daily basis 10 30 25 65
Daily rent rate $4 $2 $2
Estimated monthly revenues on daily rent basis $1,200 $2,160 $1,500 $4,860
Expected total monthly revenue $13,010
Estimated costs per month: Rate Amount per month
Fixed costs per month $5,000
Variable cost per month per monthly client $8 $1,280
Variable cost per month per daily client $2 $104
Expected total costs per month $6,384
Estimated inflows per month = Estimated revenues per month - Estimated expenses per month
= $ 13,010 - $6,384 = $6,626
Estimated inflows per year = $6,626 * 12 = $79,512
So, here above, we calculate the revenues and costs associated with the project, with an analysis whether the net is an inflow or outflow. Based on estimated units that would be rented and prices for each, an estimate of the monthly revenues is provided. Similarly, total of estimated costs per month is calculated. We see that expected revenues are more than costs. So, that is first sign that the project can be considered.
Also, if we see that the annual revenues from storage units construction is estimated at $79,512, while the revenues received on land were a meagre $6,000 annually, which is again a positive sign to consider the project.
Further, if we see the initial cost on the land 6 years ago and the receipts till date, we see that as of now, $541,000 is the previous cost which have not been covered as yet (Note: we have not applied discounting rate. Applying appropriate discount factor gives a more fair value).
Adding to that, the one-time construction cost for storage units of $32,000, the total cost at Year 0 = $573,000.
We can apply various Capital Budgeting techniques such as Payback Period, Net Present Value of project, Accounting Rate of Return on project,etc. by applying appropriate discount factors (required rate of return) to check the feasibility of the project.
For example, calculating the Payback period = $573,000 (Cost at Year 0) / $79,512 (inflows each year), we see the project will return initial cost in 7.2 years.
Further, we can apply appropriate rate of return to get net present value of project and compare it with costs at present, to see if the NPV is a + no. (go-ahead signal) or a - ve no. (no-go signal).
For example, applying a 5% RR and $79512 annual inflows expected for the next 10 years, gives us Present value of project as $613,970.50, while the costs are $573,000. So, NPV of the project would be $613,970.50 - $573,000 = $40,970.59, which is positive net present value of project.
世界紀錄
2019-12-20 11:39:37
(a)
Probability of getting head = Probability of getting tail = 1/2
So, choosing of mathematics or accounting subject are equally probable.
Suppose, M denotes the event to choose mathematics and T ghat of accounting. Also let A denotes the event of gettinv grade A.
So, from the given information we have
P(M) = 1/2 P(T) = 1/2
P(A|M) = 1/3 P(A|T) = 2/3
We have to calculate P(AT).
By the definition of conditional probability we have,
P(A|T) = P(AT)/P(T)
So, P(AT) = P(A|T)*P(T) = 2/3 * 1/2 = 1/3